As they tumble through space, objects like spacecraft move in dynamical ways. Understanding and predicting the equations that represent that motion is critical to the safety and efficacy of spacecraft mission development. Kinetics: Modeling the Motions of Spacecraft trains your skills in topics like rigid body angular momentum and kinetic energy expression shown in a coordinate frame agnostic manner, single and dual rigid body systems tumbling without the forces of external torque, how differential gravity across a rigid body is approximated to the first order to study disturbances in both the attitude and orbital motion, and how these systems change when general momentum exchange devices are introduced.
Este curso faz parte do Programa de cursos integrados Spacecraft Dynamics and Control
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Programa de cursos integrados Spacecraft Dynamics and ControlUniversidade do Colorado em BoulderInformações sobre o curso
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Prazos flexíveis
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Nível avançado
Aprox. 21 horas para completar
Inglês
Legendas: Francês, Portuguese (European), Russo, Inglês, Espanhol
Resultados de carreira do aprendiz
50%
comecei uma nova carreira após concluir estes cursos
50%
consegui um benefício significativo de carreira com este curso
Certificados compartilháveis
Tenha o certificado após a conclusão
100% on-line
Comece imediatamente e aprenda em seu próprio cronograma.
Prazos flexíveis
Redefinir os prazos de acordo com sua programação.
Nível avançado
Aprox. 21 horas para completar
Inglês
Legendas: Francês, Portuguese (European), Russo, Inglês, Espanhol
oferecido por
Universidade do Colorado em Boulder
CU-Boulder is a dynamic community of scholars and learners on one of the most spectacular college campuses in the country. As one of 34 U.S. public institutions in the prestigious Association of American Universities (AAU), we have a proud tradition of academic excellence, with five Nobel laureates and more than 50 members of prestigious academic academies.
Programa - O que você aprenderá com este curso
6 horas para concluir
Continuous Systems and Rigid Bodies
The dynamical equations of motion are developed using classical Eulerian and Newtonian mechanics. Emphasis is placed on rigid body angular momentum and kinetic energy expression that are shown in a coordinate frame agnostic manner. The development begins with deformable shapes (continuous systems) which are then frozen into rigid objects, and the associated equations are thus simplified.
6 horas para concluir
19 vídeos (Total 158 mín.)
19 videos
Module 1 Introduction53s
Overview of Kinetics2min
1: Continuous System Super Particle Theorem13min
2: Continuous System Kinetic Energy9min
3: Continuous System Linear Momentum2min
4: Continuous System Angular Momentum7min
Optional Review: Continuous Momentum and Energy Properties19min
5: Rigid Body Angular Momentum6min
6: Rigid Body Inertia Tensor3min
6.1: Rigid Body Inertia about Alternate Points3min
6.2: Rigid Body Inertia about Alternate Body Axes6min
7: Rigid Body Kinetic Energy6min
8: Rigid Body Equations of Motion13min
8.1: Integrating Rigid Body Equations of Motion1min
8.2 Example: Slender Rod Falling19min
(Tips for Solving Spring Particle Systems)5min
Optional Review: Rigid Body Properties14min
Optional Review: Rigid Body Equations of Motion19min
9 exercícios práticos
Concept Check 1 - Super Particle Theorem30min
Concept Check 2 - Kinetic Energy40min
Concept Check 3 - Linear Momentum5min
Concept Check 4 - Angular Momentum5min
Concept Check 5 - Rigid Body Angular Momentum10min
Concept Check 6 - Parallel Axis Theorem6min
Concept Check 6.1 - Coordinate Transformation30min
Concept Check 7 - Kinetic Energy8min
Concept Check 8 - Equations of Motion40min
7 horas para concluir
Torque Free Motion
The motion of a single or dual rigid body system is explored when no external torques are acting on it. Large scale tumbling motions are studied through polhode plots, while analytical rate solutions are explored for axi-symmetric and general spacecraft shapes. Finally, the dual-spinner dynamical system illustrates how the associated gyroscopics can be exploited to stabilize any principal axis spin.
7 horas para concluir
17 vídeos (Total 166 mín.)
17 videos
1: Torque Free Motion Polhode Plots33min
1.1 Example: Special Polhode Plots3min
2: Torque Free Motion Axisymmetric Solution5min
3: Torque Free Motion General Inertia Case14min
4: Torque Free Motion Integrals of Motion6min
5: Torque Free Motion Phase Space Plots9min
5 Example: Phase Space Plots for Varying Energy Levels4min
6: Torque Free Motion Attitude Precession11min
6 Example: Phase Space Plot of Duffing Equation4min
Optional Review: Torque Free Motion10min
7: Dual Spinner Equations of Motion11min
8: Dual Spinner Spin Equilibria7min
9: Dual Spinner Linear Stability11min
9 Example: Dual Spinner Stability10min
9.1: Spin Up Considerations13min
Optional Review: Dual Spinner EOM and Equilibria7min
9 exercícios práticos
Concept Check 1 - Rigid Body Polhode Plots30min
Concept Check 2 - Torque Free Motion with Axisymmetric Body30min
Concept Check 3 - Torque Free Motion General Inertia1h 10min
Concept Check 4 - Torque Free Motion Integrals of Motion30min
Concept Check 5 - Torque Free Motion Phase Space Plots30min
Concept Check 6 - Torque Free Motion Precession15min
Concept Check 7 - Dual Spinner Equations of Motion15min
Concept Check 8 - Dual Spinner Equilibria30min
Concept Check 9 - Dual Spinner Linear Stability25min
2 horas para concluir
Gravity Gradients
The differential gravity across a rigid body is approximated to the first order to study how it disturbs both the attitude and orbital motion. The gravity gradient relative equilibria conditions are derived, whose stability is analyzed through linearization.
2 horas para concluir
7 vídeos (Total 77 mín.)
7 videos
1: Gravity Gradient Torque Development19min
1.1: Gravity Gradient Torque in Body Frame7min
1.2: Gravity Gradient Net Spacecraft Force9min
2: Gravity Gradient Relative Equilibria Orientations10min
3: Gravity Gradient Linear Stability about Equilibria22min
Extra Example: Gravity Gradient Polar Pear Mission5min
3 exercícios práticos
Concept Check 1 - Gravity Gradient Derivation15min
Concept Check 2 - Gravity Gradient Equilibria6min
Concept Check 3 - Gravity Gradient Linear Stability30min
6 horas para concluir
Equations of Motion with Momentum Exchange Devices
The equations of motion of a rigid body are developed with general momentum exchange devices included. The development begins with looking at variable speed control moment gyros (VSCMG), which are then specialized to classical single-gimbal control moment devices (CMGs) and reaction wheels (RW).
6 horas para concluir
7 vídeos (Total 95 mín.)
7 videos
1: Introduction to Momentum Exchange Devices2min
1.2: Overview of Momentum Control Devices16min
2: VSCMG Equations of Motion Development41min
3: VSCMG Motor Torque Equations8min
4: VSCMG EOM Variations9min
Optional Review of Momentum Exchange Devices15min
4 exercícios práticos
Concept Check 1 - Overview of Momentum Exchange Devices30min
Concept Check 2 - VSCMG Equations of Motion1h
Concept Check 3 - VSCMG Motor Torque Equations30min
Concept Check 4 - VSCMG EOM Variations30min
Avaliações
Principais avaliações do KINETICS: STUDYING SPACECRAFT MOTION
por RS16 de Ago de 2020
Great teacher, great course. I recommend studying with the book since it's not an easy topic. The first course was a bit better since there were more programming exercises to train.
por JP22 de Set de 2020
A good course to understand concept and practical evaluation process to useit on field.
por H20 de Jul de 2020
It's hard, but you learn a lot. Mr Schaub is great teacher.
por MK28 de Ago de 2020
great lectures highly recommended for space enthusiasts
Sobre Programa de cursos integrados Spacecraft Dynamics and Control
Spacecraft Dynamics and Control covers three core topic areas: the description of the motion and rates of motion of rigid bodies (Kinematics), developing the equations of motion that prediction the movement of rigid bodies taking into account mass, torque, and inertia (Kinetics), and finally non-linear controls to program specific orientations and achieve precise aiming goals in three-dimensional space (Control). The specialization invites learners to develop competency in these three areas through targeted content delivery, continuous concept reinforcement, and project applications.
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